To Strengthen the Mathematical Education of America's Teachers
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PMET logo   WORKSHOP
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PMET Workshop on Mathematical Preparation of Elementary Teachers
with Focus on Ethnomathematics
July 17 – 29, 2005
clik here to apply online
 
This page updated June 16, 2005.


Location:
Southwestern Indian Polytechnic Institute, Albuquerque, NM ( SIPI ) http://www.sipi.bia.edu/
Directors:
Joan Goodman, Southwestern Indian Polytechnic Institute, email: jgoodman@sipi.bia.edu

Bernie Madison, University of Arkansas
Special focus:
Ethnomathematics emphasizing how Native American and Hispanic cultures interact with mathematics education.

Program Components:

Demonstration class of SIPI students (all Native Americans)
Rick Scott, New Mexico State University

Sessions led by leading educators, statisticians, and mathematicians
  • Reuben Hersh, University of New Mexico
    Topic: Pedagogy and the philosophy of mathematics

  • Bob Moses, The Algebra Project, website: http://www.algebra.org/apinfo/origin2.html
    Topic: Learning Experiences

  • Lew Romagnano, Metropolitan State College of Denver
    Engaging Prospective Elementary Teachers: Creating a Mathematical Community
    See abstract.

  • Richard Scheaffer, University of Florida
  • Data, Data Everywhere, But How Can It Help Us Think?
    See abstract.


  • Annie Selden, New Mexico State University
  • Topic: Learning Theories

  • Michael Starbird, University of Texas at Austin
  • Developing Independent Thinkers
    -and-
    The Other Lessons: What Students Keep for Life
    See abstracts.


  • Hung-Hsi Wu, University of California, Berkeley
  • Fractions for Future Elementary Teachers
    See abstract.

Special Sessions on Ethnomathematics
  • Native American Culture and Mathematics Education
  • Hispanic Culture and Mathematics Education
  • Mayan/Indian Numbering Systems: Fred Norwood, Southwestern Indian Polytechnic Institute
  • Geometry of Chaco Canyon >> Clo Mingo, Sante Fe, NM
Field Trips
Presentations by artisans
  • Weaver
  • Beader
  • Wood carver
  • Curandero (medicine person)
  • Quilter
  • Drum maker
  • Potter
Other presentations
  • Assessment and learning theories
  • NCTM Standards
  • Knowing and Teaching Elementary Mathematics by Liping Ma
  • Technology for future elementary teachers
  • Mathematical Education of Teachers report
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Engaging Prospective Elementary Teachers: Creating a Mathematical Community

Lew Romagnano, Metropolitan State College of Denver

Abstract:  For elementary teachers to be able to provide authentic mathematical experiences for all of their students, it is necessary (but not sufficient) that they have had these experiences themselves. These sessions will describe a pre-service mathematics for teaching program designed to provide these experiences. The three key features of this program are: a curriculum of problems organized around big mathematical ideas; an instructional model that fosters, and uses, students' ideas and argument, explanation and justification; a focus on analyses of children's thinking about the mathematical ideas that underlie the elementary curriculum.

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DATA, DATA EVERYWHERE, BUT HOW CAN IT HELP US THINK?

Richard Scheaffer, Professor Emeritus
University of Florida, Gainesville, FL
rls907@bellsouth.net

Children are surrounded by data. They may think of data as tallying a student’s favorite color, as keeping a record of the number of students present, or as taking measurements, such as arm span or number of books in their school bag, on other students in their classroom.   In the information age of today, it is essential that students learn to think quantitatively. 
Children need to develop data sense -- an understanding that data are more than just numbers. Statistics changes numbers into information.

Students should learn that data are generated with respect to particular contexts or situations and can be used to answer questions about the context or situation.

Students should have opportunities to generate questions about a particular context (such as their classroom) and determine what data might be collected to answer these questions.

Students should learn how to use basic statistical tools to analyze the data and make informal inferences in answering the posed questions.

Students should develop basic ideas of probability in order to support their later use of probability in drawing inferences.
All of these data collection and analysis concepts can be worked into the curriculum in ways that support other topics in mathematics, science and social science.

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Developing Independent Thinkers

Michael Starbird, University of Texas, Austin

Abstract. One goal of education is to make our students able to think for themselves.  We hope to move them from being consumers of knowledge to producers of knowledge and insight. We can accomplish this transformation systematically by using methods of instruction designed for that purpose. Up-lifting, pain-free Modified Moore Methods can be exceptionally successful at getting students to discover mathematical ideas, to think for themselves, and to raise their standards for understanding.

The Other Lessons: What Students Keep for Life
Michael Starbird, University of Texas, Austin

Abstract.  “Education is what survives when what has been learned has been forgotten.”—B.F. Skinner. The vast majority of our students soon forget the vast majority of the mathematical details they learn in class—(sometimes, in fact, before the final). But mathematical analysis has produced some of the greatest triumphs of human thought and creativity. Let’s design our courses and curricula so that what survives in our students, after they forget, is a mathematical way of clear thinking that is useful for their lives as teachers and people.

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Fractions for Future Elementary Teachers

H. H. Wu, University of California, Berkeley

I will discuss the key issues of teaching fractions in school, including the need of precise definitions in every aspect, including addition, multiplication, division, ratio, percent, and rate. I will bring out the importance of complex fractions and their computation algorithms, and why neglecting them is not a good idea. If time permits, I will also discuss the place of fractions in the school curriculum.

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